Krinitsin, Wladislaw and Tausendpfund, Niklas and Heyl, Markus and Rizzi, Matteo and Schmitt, Markus (2025) Time evolution of the quantum Ising model in two dimensions using tree tensor networks. PHYSICAL REVIEW B, 112 (13): 134310. ISSN 2469-9950, 2469-9969
Full text not available from this repository. (Request a copy)Abstract
The numerical simulation of two-dimensional quantum many-body systems away from equilibrium constitutes a major challenge for all known computational methods. We investigate the utility of tree tensor network (TTN) states to solve the dynamics of the quantum Ising model in two dimensions. Within the perturbative regime of small transverse fields, TTNs faithfully reproduce analytically known, but nontrivial and physically interesting dynamics of magnetic domains, for lattices up to 16 x 16 sites. Limitations of the method related to the rapid growth of entanglement entropy are explored within more general, paradigmatic quench settings. We provide and discuss comprehensive benchmarks regarding the benefit of GPU acceleration and the impact of using local operator sums on the performance.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | DYNAMICS; ORDER |
| Subjects: | 000 Computer science, information & general works > 004 Computer science 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics Informatics and Data Science |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 15 Jul 2026 08:59 |
| Last Modified: | 15 Jul 2026 08:59 |
| URI: | https://pred.uni-regensburg.de/id/eprint/66852 |
Actions (login required)
 |
View Item |
